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The irregularity of distributions problem, stated first by Hugo Steinhaus, is a numerical problem with a surprising result. The problem is to find N numbers, x 1 , … , x N {\displaystyle x_{1},\ldots ,x_{N}} , all between 0 and 1, for which the following conditions hold:
Cryptic crosswords often use abbreviations to clue individual letters or short fragments of the overall solution. These include: Any conventional abbreviations found in a standard dictionary, such as:
A problem set, sometimes shortened as pset, [1] is a teaching tool used by many universities. Most courses in physics, math, engineering, chemistry, and computer science will give problem sets on a regular basis. [2] They can also appear in other subjects, such as economics.
Traces is a Python library for analysis of unevenly spaced time series in their unaltered form.; CRAN Task View: Time Series Analysis is a list describing many R (programming language) packages dealing with both unevenly (or irregularly) and evenly spaced time series and many related aspects, including uncertainty.
An American-style 15×15 crossword grid layout. A crossword (or crossword puzzle) is a word game consisting of a grid of black and white squares, into which solvers enter words or phrases ("entries") crossing each other horizontally ("across") and vertically ("down") according to a set of clues. Each white square is typically filled with one ...
He has said that his favorite crossword of all time is the Election Day crossword of November 5, 1996, designed by Jeremiah Farrell. It had two correct solutions with the same set of clues, one saying that the "Lead story in tomorrow's newspaper (!)" would be "BOB DOLE ELECTED", and the other correct solution saying "CLINTON ELECTED". [ 18 ]
From the right: Starting from the right, the clues that are to the right of the 6 clue must be accounted for. Starting from cell 15, count 3 cells for the 3 clue (to cell 13), then a space (12), then the 2 clue (10), then a space (9), then the 6 clue (3). From the 3rd cell, "backfill" 4 blocks, filling cells 3 through 6.
Whether viewed as an exact cover problem or an exact hitting set problem, the matrix representation is the same, having 1568 rows corresponding to choices and 72 columns corresponding to constraints. Each row contains a single 1 in the column identifying the pentomino and five 1s in the columns identifying the squares covered by the pentomino.
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related to: irregularity crossword answer sheet printable problem set 12